Three-dimensional reconstruction of objects buried in layered media using Born and distorted Born iterative methods

IEEE Geoscience and Remote Sensing Letters

Volumn 1, Issue 2, 2004, Pages 107-111

  Li, Fenghua ^a   Liu, Qing Huo ^a   Song, Lin Ping ^a  

^a Duke University   (United States)

Author keywords

Biconjugate gradient fast Fourier transform (BCGS FFT) algorithm; Born iterative method (BIM); Buried objects; Distorted Born iterative method (DBIM); Layered media; Scattering

Indexed keywords

APPROXIMATION THEORY; ELECTROMAGNETIC WAVES; FOURIER TRANSFORMS; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; ITERATIVE METHODS;

LAYERED MEDIA; THREE-DIMENSIONAL RECONSTRUCTION;

REMOTE SENSING;

EID: 2442446548     PISSN: 1545598X     EISSN: None     Source Type: Journal    
DOI: 10.1109/LGRS.2004.826562     Document Type: Article

References (17)

1. A. Abubakar and P. M. van den Berg, "The contrast source inversion method for location and shape reconstructions," Inv. Prob., vol. 18, pp. 495-510, 2002.
2. Q. H. Liu, Z. Q. Zhang, T. Wang, G. Ybarra, L. W. Nolte, J. A. Bryan, and W. T. Joines, "Active microwave imaging 1:2-D forward and inverse scattering methods," IEEE Trans. Microwave Theory Tech., vol. 50, pp. 123-133, Jan. 2002.
3. N. Joachimowicz, C. Pichot, and J. P. Hugonin, "Inverse scattering: An iterative numerical method for electromagnetic imaging," IEEE Trans. Antennas Propagat., vol. 39, pp. 1742-1752, Dec. 1991.
4. P. Lobel, L. Blanc-Feraud, Ch. Pichot, and M. Barlaud, "A new regularization scheme for inverse scattering," Inv. Prob., vol. 13, pp. 403-410, 1997.
5. W. C. Chew and Y. M. Wang, "Reconstruction of two-dimensional permittivity distribution using the distorted born iteration method," IEEE Trans. Med. Imag., vol. 9, pp. 218-225, June 1990.
6. P. M. van den Berg, "Reconstruction of media posed as an optimization problem," in Wavefield Inversion. New York: Springer-Wien, 1999.
7. Z. Q. Zhang and Q. H. Liu, "Three-dimensional nonlinear image reconstruction for microwave biomedical imaging," IEEE Trans. Biomed. Eng., vol. 51, pp. 544-548, Mar. 2004.
8. _, "Two nonlinear inverse methods for electromagnetic induction measurements," IEEE Trans. Geosci. Remote Sensing, vol. 39, pp. 1331-1339, June 2001.
9. T. J. Cui, W. C. Chew, D. L. Wright, and D. V. Smith, "Three-dimensional imaging of buried objects in very lossy earth by inversion of VETEM data," IEEE Trans. Geosci. Remote Sensing, vol. 41, pp. 2197-2210, Oct. 2003.
10. Y. M. Wang and W. C. Chew, "An iterative solution of the two-dimensional electromagnetic inverse scattering problem," Int. J. Imaging Syst. Tech., vol 1, pp. 100-108, 1989.
11. A. G. Tijhuis, "Born-type reconstruction of material parameters of an inhomogeneous lossy dielectric slab from reflected-field data," Wave Motion, vol. 11, pp. 151-173, 1989.
12. X. M. Xu and Q. H. Liu, "The BCGS-FFT method for electromagnetic scattering from inhomogeneous objects in a planarly layered medium," IEEE Antennas Wireless Propagat. Lett., vol. 1, pp. 77-80, 2002.
13. X. Millard and Q. H. Liu, "A fast volume integral equation solver for electromagnetic scattering from large inhomogeneous objects in planarly layered media," IEEE Trans. Antennas Propagat., vol. 51, pp. 2393-2401, Sept. 2003.
14. _, "Simulations of near-surface detection of objects in layered media by the BCGS-FFT method," IEEE Trans. Geosci. Remote Sensing, vol. 42, pp. 327-334, Feb. 2004.
15. K. A. Michalski and J. R. Mosig, "Multilayered media Green's function in integral equation formulations," IEEE Trans. Antennas Propagat., vol. 45, pp. 505-519, Mar. 1997.
16. C. L. Lawson and R. J. Hanson, Solving Least Squares Problems. Englewood Cliffs, NJ: Prentice-Hall, 1974.
17. M. F. Catedra, R. P. Torres, J. Basterrechea, and E. Gago, CG-FFT Method: Application of Signal Processing Techniques to Electromagnetics. Boston, MA: Artech House, 1994.